mlsanityData to 14 Oct 2026

Refined Grid Sampling for Efficient Implicit Neural Representations of Large-Scale Scientific Data

arXiv 2610.14205 ↗First posted 9 Oct 2026cs.LGcited by 0

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Abstract (arXiv)

Implicit neural representations (INRs) offer a powerful framework for modeling high-dimensional physical fields, but their training remains inefficient because evaluating dense coordinate grids is computationally expensive. Existing coordinate-pruning strategies rely on local error functions that can oversample correlated points and incur substantial overhead from full-grid error evaluation. We introduce Refined Grid Sampling (RGS), which combines stratified grid sampling, error-based refinement, and dynamic grid-resolution adjustment. This design reduces spatial redundancy without evaluating errors over the full grid. On high-resolution Navier--Stokes fields, RGS achieves higher reconstruction accuracy within a fixed wall-clock budget and reaches the accuracy of full-grid training up to 6× faster than the evaluated baselines.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 12 of its 13 references that are in the map. First posted on arXiv 9 Oct 2026.

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References · 12

  1. 2020Implicit Neural Representations with Periodic Activation Functionscited by 2,238
  2. 2018On the Spectral Bias of Neural Networkscited by 1,341
  3. 2021Neural Fields in Visual Computing and Beyondcited by 540
  4. 2019Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networkscited by 368
  5. 2022NeRF: Neural Radiance Field in 3D Vision: A Comprehensive Review (Updated Post-Gaussian Splatting)cited by 158
  6. 2023Implicit Neural Representation in Medical Imaging: A Comparative Surveycited by 90
  7. 2023Spatial Implicit Neural Representations for Global-Scale Species Mappingcited by 59
  8. 2024Continuous Field Reconstruction from Sparse Observations with Implicit Neural Networkscited by 20
  9. 2023Inducing Point Operator Transformer: A Flexible and Scalable Architecture for Solving PDEscited by 18
  10. 2023Accelerating Neural Field Training via Soft Miningcited by 15
  11. 2024Nonparametric Teaching of Implicit Neural Representationscited by 15
  12. 2024EVOS: Efficient Implicit Neural Training via EVOlutionary Selectorcited by 7

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